What is 0.545 as a fraction?
0.545 as a fraction is 545/1000 and its simplest form is 109/200.
Learn how to find what is 0.545 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.545 in its equivalent fraction form. It is required to recognize the decimal point 0.545 as 545 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.545 as a fraction and how it can be found easily.
Summary: 0.545 in fraction form
0.545 can be recognized as 545 thousandths, which can be represented as 545/1000 in fraction form. The simplest form of 545/1000 is 109/200. Therefore, 0.545 as a fraction is 109/200.
Write 0.545 as a fraction in simplest form.
0.545 = (?)
0.545 = 0.545/1
= (0.545/1) x (1000/1000) //0.545 can be recognized as 545 thousandths.
= 545/1000 //545 thousandths is equal to 545/1000 and it can be simplified further.
= (545/5)/(1000/5) //5 is the GCF of 545 and 1000. Divide both 545 and 1000 by the GCF 5 to simplify the fraction.
= 109/200
0.545 = 109/200
0.545 in its simplest fraction form is 109/200.
So, what is the fraction of 0.545?
It is 545/1000 in fraction. To simplify 545/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 545 by 5 gives 109,
and dividing 1000 by 5 gives 200. Thus, 545/1000 simplifies to 109/200
Refer to the step by step work further to learn how to find what is 0.545 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.545
What to be found:
What is 0.545 as a fraction in simplest form?
step 2 Write 0.545 as a simple fraction.
0.545/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.545/1.
Since the decimal 0.545 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.545/1 to make numerator as a whole number.
(0.545 x 1000)/(1 x 1000) = 545/1000
step 4
545 thousandths is the fraction form of 0.545, however, it can be reduced further. To simplify 545/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 545 and 1000 cancel each other.
545/1000 = (5 x 109)/(5 x 200)
= 109/200
545/1000 = 109/200
Hence,
0.545 as a fraction is 109/200.
Converting decimals like 0.545 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.545 to fraction form. In this case, 0.545 can be recognized as 545 thousandths. So, the fraction form of 0.545 is 545/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 545/1000 in its simplest form.